Question

If ^2 45 − ^2 30+ ^2 60 = 1/8 , find the value of .

Answer 1

Answer:

sin230°cos245°+4tan230°+12sin290°−2cos290°+124 cos20°

....(i)

By trigonometric ratios we have

sin30∘=12 cos45∘=12 tan302=13

sin90∘=1 cos90∘=0 cos0∘=1

By substituting above values in (i), we get

[12]2.[12]2+4[13]2+12[1]2-2[0]2+1

14.1/2+41/3+12-0+124

18+43+12+124=4824=2l

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